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Finding the Fourth Proportional to 255,594.08, 383,460.14 and 78,096.24

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Solution

The fourth proportional to 255,594.08, 383,460.14 and 78,096.24 is: 117,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,594.08 : 383,460.14 = 78,096.24 : x
  2. Step 2: Convert to fraction form
    255,594.08/383,460.14 = 78,096.24/x
  3. Step 3: Cross multiply
    255,594.08x = 383,460.14 × 78,096.24
  4. Step 4: Simplify right side
    255,594.08x = 29,946,795,123.87
  5. Step 5: Solve for x
    x = 29,946,795,123.87/255,594.08
  6. Step 6: Final answer
    x = 117,165.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.